Solve What is the solution to : - 5(y + 1) + 3y = 6 - 4(y - 3) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { - 5 ( y + 1 ) + 3 y = 6 - 4 ( y - 3 ) } \end{array} \right.$$

Solve for y

$y = \frac{23}{2} = 11\frac{1}{2} = 11.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $-5$ by $y+1$.

$$-5y-5+3y=6-4\left(y-3\right)$$

Combine $-5y$ and $3y$ to get $-2y$.

$$-2y-5=6-4\left(y-3\right)$$

Use the distributive property to multiply $-4$ by $y-3$.

$$-2y-5=6-4y+12$$

Add $6$ and $12$ to get $18$.

$$-2y-5=18-4y$$

Add $4y$ to both sides.

$$-2y-5+4y=18$$

Combine $-2y$ and $4y$ to get $2y$.

$$2y-5=18$$

Add $5$ to both sides.

$$2y=18+5$$

Add $18$ and $5$ to get $23$.

$$2y=23$$

Divide both sides by $2$.

$$y=\frac{23}{2}$$